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Scale Factors and Dilations of Polygons (B) WORKSHEET

Suitable for Grades: 8th Grade
CCSS: 8.G.A.4
CCSS Description: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

Scale Factors and Dilations of Polygons (B) WORKSHEET DESCRIPTION

Introduce your learners to dilations by negative scale factors with this worksheet. Here there are six objects to enlarge by three different scale factors: -1, -2, and - 1/2 . The orientation of centers of dilation vary, as do the polygons themselves. Objects include right angled and isosceles triangles, a trapezoid, parallelograms, arrowheads, and arrow shapes; all are translucent to aid students' transformations.

Using column vectors or rays of dilation may help students when beginning to enlarge using negative scale factors. Ensure learners are equipped with a pencil and ruler to complete their transformations.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Frequently Asked Questions

When you dilate by a negative scale factor like -1, -2, or -1/2, the image not only changes size but also rotates 180 degrees around the center of dilation. This means the transformed shape ends up on the opposite side of the center point compared to where it would be with a positive scale factor, creating both a size change and a flip.